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The expression (5x-2)/(x+3) is equivalent to which of the following?

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Bunuel
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The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink] New post   21 Jul 2016, 05:08
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The expression (5x-2)/(x+3) is equivalent to which of the following?

A) (5-2)/3

B) 5 – (2/3)

C) 5 – (x)/(x+3)

D) 5 – (17)/(x+3)

E) 5 + (17)/(x+3)
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D
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BrentGMATPrepNow
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Re: The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink] New post   21 Jul 2016, 07:27
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Bunuel wrote:
The expression (5x-2)/(x+3) is equivalent to which of the following?

A) (5-2)/3

B) 5 – (2/3)

C) 5 – (x)/(x+3)

D) 5 – (17)/(x+3)

E) 5 + (17)/(x+3)


Once I scan the answer choices (ALWAYS scan the answer choices before starting to solve a GMAT PS question), I see that 4 answer choices feature either 5 + something or 5 - something.
So, they want me to take part of this expression and turn it into the integer 5.
Notice that (5x+15)/(x+3) = 5
So, let's take 5x-2 and REWRITE it as 5x + 15 - 17
Now we'll use the fact that (a + b)/c = a/c + b/c

So, (5x + 15 - 17)/(x+3) = (5x + 15)/(x+3) - (17)/(x+3)
= 5 - 17/(x + 3)

Answer:
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D


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Re: The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink] New post   21 Jul 2016, 09:00
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Bunuel wrote:
The expression (5x-2)/(x+3) is equivalent to which of the following?

A) (5-2)/3

B) 5 – (2/3)

C) 5 – (x)/(x+3)

D) 5 – (17)/(x+3)

E) 5 + (17)/(x+3)


Easiest way is to pick any number and put in (5x-2)/(x+3). Then check the options with the same number.

I took x=1 and got D as the answer.
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The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink] New post   21 Jul 2016, 06:44
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Bunuel wrote:
The expression (5x-2)/(x+3) is equivalent to which of the following?

A) (5-2)/3

B) 5 – (2/3)

C) 5 – (x)/(x+3)

D) 5 – (17)/(x+3)

E) 5 + (17)/(x+3)



Given asked to find the value of (5x-2)/(x+3)...

Now take X as 1 then we get 3/4...

From the options check which one gets the same 3/4.

From option D = 5 – (17)/(x+3) => 5 - (17)/(1+3) => 3/4.. All other options will result in some other value..

IMO D is the correct option...
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Re: The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink] New post   16 Mar 2024, 12:51
Hello from the GMAT Club BumpBot!

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Re: The expression (5x-2)/(x+3) is equivalent to which of the following? [#permalink]
16 Mar 2024, 12:51
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